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3 years ago

A proportional relationship is also known as a

Mathematics

1 answer:

jeka57 [31]3 years ago

5 0

Answer:

Direct variation

Step-by-step explanation:

we know that

A proportional relationship is also known as a direct variation

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In a proportional relationship

If the variable x increases -------> the variable y increases

If the variable x decreases -------> the variable y decreases

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The function g(x) is defined as g(x) = −2x^2 + 3x.The value of g(−3) is

Tresset [83]

Answer:

g(-3) = -27

Step-by-step explanation:

g(x) = -2x² + 3x ---> g(-3)

g(-3) = -2(-3)² + 3(-3)

g(-3) = -2(9) + 3(-3)

g(-3) = -18 - 9

g(-3) = -27

Hope this helps, thank you :) !!

4 0

3 years ago

On Monday, Torrance practiced the violin for 4/10 of an hour. On Tuesday, he practiced for 1 6/8 of an hour. How much time did h

Yuri [45]

Answer: $2\frac{3}{20}$

Step-by-step explanation:

First, convert mixed numbers into improper fractions and simplify all fractions

$\frac{4}{10}$ ÷ $\frac{2}{2}$ = $\frac{2}{5}$

$1\frac{6}{8}$ = $\frac{8(1) + 6}{8}$ = $\frac{14}{8}$ ÷ $\frac{2}{2}$ = $\frac{7}{4}$

Next, find their sum. Remember to find the LCD and convert the fractions so they have like denominators.

Monday + Tuesday = Total

$\frac{2}{5}$ + $\frac{7}{4}$ = Total the LCD of 5 and 4 is 20

$(\frac{4}{4})\frac{2}{5}$ + $(\frac{5}{5})\frac{7}{4}$ = Total

$\frac{8}{20}$ + $\frac{35}{20}$ = Total

$\frac{43}{20}$ = Total

Then, convert the improper fraction into a mixed number

$\frac{43}{20}$ = $2\frac{3}{20}$

7 0

3 years ago

The perimeter of the patio is 64 feet. The width of the patio is (x+2) feet and the length of the patio is (x+6) feet. What are

ValentinkaMS [17]

The formula for the perimeter is P = 2w + 2l, where w is the width and l is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:

P = 2w + 2l

64 = 2(x+2) + 2(x+6) ⇒ Distributive property

⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms

⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides

⇒ 48 = 4x ⇒ Divide both sides by 4

⇒ x = 12

Then, we use x = 12 and substitute it in to find the length and width

Width = (x+2) = (12+2) = 14

Length = (x+6) = (12+6) = 18

The dimensions of the patio is 14 by 18

5 0

3 years ago

Select all of the names of this polygon.

Shalnov [3]

Trapezoid
quadrilateral
rhombus
parallelogram

8 0

3 years ago

What is the answer??!!!!

Sveta_85 [38]

Answer cant help you

Step-by-step explanation:

i dont know

5 0

3 years ago